He was ordained to the priesthood in 1993, His parish assignments included parochial vicar, administrator or pastor at parishes in Rapid City, Bonesteel, Fairfax, Ponca Creek, McLaughlin, Kenel, Wakpala, McIntosh, Bullhead, Watauga and Hermosa.

He has served as the Chaplain for the Rapid City Catholic Schools and the Newman Club at South Dakota State University.

Biegler studied at the Pontifical University of St. Thomas Aquinas in Rome, the Pontifical Gregorian University in Rome, and St. Mary’s College in Winona, Minn

He replaces Bishop Paul Etienne, named by the pope to be the fourth Archbishop of Anchorage in October.

Etienne was named bishop of the Cheyenne diocese in 2009.

After the announcement of Etienne's appointment, diocesan spokesman Deacon Mike Leman of Holy Trinity Church in Cheyenne said a group of priests in the diocese would select a diocesan administrator until the pope names a new bishop for Wyoming.